4(x-3)=8x-2

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Solution for 4(x-3)=8x-2 equation:


Simplifying
4(x + -3) = 8x + -2

Reorder the terms:
4(-3 + x) = 8x + -2
(-3 * 4 + x * 4) = 8x + -2
(-12 + 4x) = 8x + -2

Reorder the terms:
-12 + 4x = -2 + 8x

Solving
-12 + 4x = -2 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-12 + 4x + -8x = -2 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-12 + -4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -4x = -2 + 0
-12 + -4x = -2

Add '12' to each side of the equation.
-12 + 12 + -4x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -4x = -2 + 12
-4x = -2 + 12

Combine like terms: -2 + 12 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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